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Finding the Fourth Proportional to 747.62, 1,121.39 and 314.47

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Solution

The fourth proportional to 747.62, 1,121.39 and 314.47 is: 471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.62 : 1,121.39 = 314.47 : x
  2. Step 2: Convert to fraction form
    747.62/1,121.39 = 314.47/x
  3. Step 3: Cross multiply
    747.62x = 1,121.39 × 314.47
  4. Step 4: Simplify right side
    747.62x = 352,643.51
  5. Step 5: Solve for x
    x = 352,643.51/747.62
  6. Step 6: Final answer
    x = 471.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.